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102320012010 = 235193714932561
BaseRepresentation
bin101111101001010111…
…1110111101011101010
3100210002212011011102110
41133102233313223222
53134022410341020
6115001040543150
710251404515626
oct1372257675352
9323085134373
10102320012010
113a436a854a7
12179b6921ab6
139858370608
144d4921c186
1529dcc608e0
hex17d2bf7aea

102320012010 has 128 divisors (see below), whose sum is σ = 267268896000. Its totient is φ = 24981073920.

The previous prime is 102320011987. The next prime is 102320012059. The reversal of 102320012010 is 10210023201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3126130 + ... + 3158690.

It is an arithmetic number, because the mean of its divisors is an integer number (2088038250).

Almost surely, 2102320012010 is an apocalyptic number.

102320012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102320012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133634448000).

102320012010 is an abundant number, since it is smaller than the sum of its proper divisors (164948883990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102320012010 is a wasteful number, since it uses less digits than its factorization.

102320012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32776.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102320012010 its reverse (10210023201), we get a palindrome (112530035211).

The spelling of 102320012010 in words is "one hundred two billion, three hundred twenty million, twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 149 185 190 222 285 298 370 447 555 570 703 745 894 1110 1406 1490 2109 2235 2831 3515 4218 4470 5513 5662 7030 8493 10545 11026 14155 16539 16986 21090 27565 28310 32561 33078 42465 55130 65122 82695 84930 97683 104747 162805 165390 195366 209494 314241 325610 488415 523735 618659 628482 976830 1047470 1204757 1237318 1571205 1855977 2409514 3093295 3142410 3614271 3711954 4851589 6023785 6186590 7228542 9279885 9703178 12047570 14554767 18071355 18559770 22890383 24257945 29109534 36142710 45780766 48515890 68671149 72773835 92180191 114451915 137342298 145547670 179508793 184360382 228903830 276540573 343355745 359017586 460900955 538526379 553081146 686711490 897543965 921801910 1077052758 1382702865 1795087930 2692631895 2765405730 3410667067 5385263790 6821334134 10232001201 17053335335 20464002402 34106670670 51160006005 102320012010